Sentence examples for on a bilevel program from inspiring English sources

The formulation is based on a bilevel program, i.e., an optimization problem embedded in another one.

When there is uncertainty in the lower level optimization problem of a bilevel programming [1], it can be formulated by a robust optimization method as a bilevel programming problem having second-order cone programming [2] as its lower level problem, i.e., a bilevel programming problem with lower level second-order cone programs (SOCBLP).

When there is uncertainty in the lower level optimization problem of a bilevel programming, it can be formulated by a robust optimization method as a bilevel programming problem with lower level second-order cone program (SOCBLP).

The result obtained is then used to develop a necessary and sufficient local optimality condition for a bilevel programming with SOC as its lower level problem.

The rule established is then applied to deriving a necessary and sufficient local optimality condition for a bilevel programming with a second-order cone constrained lower level problem.

The OptGeneKnock algorithm was modified from OptKnock algorithm through LTM (Zhang et al. 2015), where OptKnock is able to screen the best potential reaction knockout strategies based on a bilevel programming framework.

In general, a continuous network design problem (CNDP) is formulated as a bilevel program.

Finally we propose to solve the problem of the design of experiments as a bilevel program.

Subsequently, we pose the problem for design of experiments as a bilevel program, which is regularized in order to be well-posed.

The continuous network design problem (CNDP) is characterized by a bilevel programming model and recognized to be one of the most difficult and challenging problems in transportation.

TNDP is formulated as a bilevel programming problem, which is difficult to solve on account of its combinatorial nature.